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251864055349 is a prime number
BaseRepresentation
bin1110101010010001000…
…1000111111000110101
3220002002211122200100021
43222210101013320311
513111304144232344
6311412120445141
724124266101314
oct3524421077065
9802084580307
10251864055349
11978a6769665
12409909197b1
131a99b318a1a
14c29420027b
1568417c6b84
hex3aa4447e35

251864055349 has 2 divisors, whose sum is σ = 251864055350. Its totient is φ = 251864055348.

The previous prime is 251864055329. The next prime is 251864055379. The reversal of 251864055349 is 943550468152.

It is a happy number.

251864055349 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 202221096100 + 49642959249 = 449690^2 + 222807^2 .

It is a cyclic number.

It is not a de Polignac number, because 251864055349 - 27 = 251864055221 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 251864055296 and 251864055305.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (251864055329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 125932027674 + 125932027675.

It is an arithmetic number, because the mean of its divisors is an integer number (125932027675).

Almost surely, 2251864055349 is an apocalyptic number.

It is an amenable number.

251864055349 is a deficient number, since it is larger than the sum of its proper divisors (1).

251864055349 is an equidigital number, since it uses as much as digits as its factorization.

251864055349 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5184000, while the sum is 52.

The spelling of 251864055349 in words is "two hundred fifty-one billion, eight hundred sixty-four million, fifty-five thousand, three hundred forty-nine".